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Finding the Fourth Proportional to 229,933.98, 317,305.98 and 127,956.90

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Solution

The fourth proportional to 229,933.98, 317,305.98 and 127,956.90 is: 176,578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,933.98 : 317,305.98 = 127,956.90 : x
  2. Step 2: Convert to fraction form
    229,933.98/317,305.98 = 127,956.90/x
  3. Step 3: Cross multiply
    229,933.98x = 317,305.98 × 127,956.90
  4. Step 4: Simplify right side
    229,933.98x = 40,601,489,552.26
  5. Step 5: Solve for x
    x = 40,601,489,552.26/229,933.98
  6. Step 6: Final answer
    x = 176,578.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.